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Finding the Fourth Proportional to 382,172.48, 573,258 and 101,689.76

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Solution

The fourth proportional to 382,172.48, 573,258 and 101,689.76 is: 152,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,172.48 : 573,258 = 101,689.76 : x
  2. Step 2: Convert to fraction form
    382,172.48/573,258 = 101,689.76/x
  3. Step 3: Cross multiply
    382,172.48x = 573,258 × 101,689.76
  4. Step 4: Simplify right side
    382,172.48x = 58,294,468,438.08
  5. Step 5: Solve for x
    x = 58,294,468,438.08/382,172.48
  6. Step 6: Final answer
    x = 152,534.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.